46 Additional Problems For Chapter 4 Page 2 L. A. A single die is rolled. Find t

Question

46 Additional Problems For Chapter 4 Page 2 L. A. A single die is rolled. Find the probabilities of the followings a) Rolling a 6 given that the number is even. b) Rolling an even number given that the number is 6. c) Rolling a 5 given that the number is odd. d) Rolling a 2 or a 6 given that the number is even. e) Rolling a 4 given that the number is odd. Rolling a prime number given that the number is less than 6. B. Assume that a couple has three children and those boys and girls are equally likely. Construct a sample space, and find the following probabilities. a) They have 3 girls given that the first and second children are girls b) They have at least 2 boys if the first child is a boy c) They have no boys if the first child is a girl. d) They have at least one girl given that the first child is a boy. e) They have 2 girls given that the first ehild is a girl. C) The data in the table below shows the employment status of individuals in a particular town by age group. ed Totals Full-time Part-time 0-17 18-25 26-34 35-49 50 + Totals 185 348 581 443 158 164 203 67 179 162 275 871 148 27 04 559 536 442 864 778 8179 823 If a person in this town is solected st random, find the probability that: a) The individual is employed part-time given that he/she is between the ages of 35 and 49. b) The individual is unemployed given that he/she is over 50 year old. e) The individual is employed full-time given that he/she is between 18 and 49 years old. d) The individual is employed part-time given that he/she is at least 35 years old?

Explanation / Answer

a) Probability ( 6/Even) = P( 6 when outcomes are 2,4,6)=1/3

b)P(even/6) = 1

c)P(5/even) = P(5 when 1,3,5)=1/3

d)P( 2 or 6/even) = 2/3

e)P( 4/odd)=0

f)P( Prime/Less than 6) = P( 2,3,5 when outcomes are 1,2,3,4,5) = 3/5

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